-6-3(7y-3)=-3(-4y+8)+7

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Solution for -6-3(7y-3)=-3(-4y+8)+7 equation:


Simplifying
-6 + -3(7y + -3) = -3(-4y + 8) + 7

Reorder the terms:
-6 + -3(-3 + 7y) = -3(-4y + 8) + 7
-6 + (-3 * -3 + 7y * -3) = -3(-4y + 8) + 7
-6 + (9 + -21y) = -3(-4y + 8) + 7

Combine like terms: -6 + 9 = 3
3 + -21y = -3(-4y + 8) + 7

Reorder the terms:
3 + -21y = -3(8 + -4y) + 7
3 + -21y = (8 * -3 + -4y * -3) + 7
3 + -21y = (-24 + 12y) + 7

Reorder the terms:
3 + -21y = -24 + 7 + 12y

Combine like terms: -24 + 7 = -17
3 + -21y = -17 + 12y

Solving
3 + -21y = -17 + 12y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-12y' to each side of the equation.
3 + -21y + -12y = -17 + 12y + -12y

Combine like terms: -21y + -12y = -33y
3 + -33y = -17 + 12y + -12y

Combine like terms: 12y + -12y = 0
3 + -33y = -17 + 0
3 + -33y = -17

Add '-3' to each side of the equation.
3 + -3 + -33y = -17 + -3

Combine like terms: 3 + -3 = 0
0 + -33y = -17 + -3
-33y = -17 + -3

Combine like terms: -17 + -3 = -20
-33y = -20

Divide each side by '-33'.
y = 0.6060606061

Simplifying
y = 0.6060606061

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